365 citations · 921 across the 25 of their papers we have counts for
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Global constraints preserving SAV schemes for gradient flows
Qing Cheng, Jie Shen
We develop several efficient numerical schemes which preserve exactly the global constraints for constrained gradient flows. Our schemes are based on the SAV approach combined with…
A new Lagrange Multiplier approach for gradient flows
Qing Cheng, Chun Liu, Jie Shen
We propose a new Lagrange Multiplier approach to design unconditional energy stable schemes for gradient flows. The new approach leads to unconditionally energy stable schemes that…
An efficient numerical scheme for a 3D spherical dynamo equation
Ting cheng, Lina Ma, Jie Shen
We develop an efficient numerical scheme for the 3D mean-field spherical dynamo equation. The scheme is based on a semi-implicit discretization in time and a spectral method in spa…
Error analysis of the SAV-MAC scheme for the Navier-Stokes equations
Xiaoli Li, Jie Shen
An efficient numerical scheme based on the scalar auxiliary variable (SAV) and marker and cell scheme (MAC) is constructed for the Navier-Stokes equations. A particular feature of…
Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains
Changtao Sheng, Jie Shen, Tao Tang +2
In this paper, we propose a fast spectral-Galerkin method for solving PDEs involving integral fractional Laplacian in , which is built upon two essential components:…